Stress/strain concentration in shear loadings

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SUMMARY

The discussion focuses on the phenomenon of stress and strain concentration in a rectangle subjected to pure shear loading, specifically when modeled using Finite Element Analysis (FEA). Despite the expectation of uniform deformation, the FEA results indicate stress concentrations at the bottom corners, which are identified as singularities. The participants question the presence of these singularities, noting that the fixed boundary condition at the bottom should not differentiate these corners from the other vertices. Understanding these singularities is crucial for accurate modeling and analysis in structural engineering.

PREREQUISITES
  • Finite Element Analysis (FEA) principles
  • Understanding of shear loading and its effects on materials
  • Knowledge of boundary conditions in FEA simulations
  • Concept of stress and strain singularities in structural analysis
NEXT STEPS
  • Investigate methods to mitigate stress singularities in FEA models
  • Learn about advanced meshing techniques in FEA to improve accuracy
  • Explore the impact of boundary conditions on stress distribution in FEA
  • Study the theory of elasticity related to shear loading scenarios
USEFUL FOR

Structural engineers, FEA analysts, and researchers focused on material behavior under shear loading conditions will benefit from this discussion.

feynman1
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A rectangle (plane strain/stress) is sheared on 3 edges (bottom fixed) so that it becomes a parallelogram. In theory this is pure shear and should undergo uniform deformation throughout the domain. The FEA result for this pure shear loading still shows stress/strain concentration on the bottom corners. Is that normal and how to get rid of them?
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Arjan82 said:
These corners are singularities
Why should there be such singularities only on the bottom? In theory (uniform solution) the bottom corners aren't any different from the other 2 vertices. The fixed bottom is just the FEA boundary condition to prevent rigid body motions.
 

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